Answer:
(9/2,0) and (0,-1)
Step-by-step explanation:
y(0) = log(1)-1 = -1
y=0 when log(2x+1) = 1
2x+1 = 10
x = 9/2
Answer:
X = 58°
Step-by-step explanation:
105° = (2x -11)°
105° + 11° = 2x
116°= 2x
Divide both sides by 2
X = 58°.
Answer:
see the explanation
Step-by-step explanation:
The complete question in the attached figure
Let
x ----> the number of movies
y ----> the amount of money remaining on her gift card
we know that
The slope of the linear equation is equal to the unit rate
take two points from the graph
(0,18) and (2,12)
Find the slope

---> is negative because is a decreasing function
That means -----> Each movie she rents cost her $3, so her gift card balance will decrease $3 for every movie rented
The linear equation is equal to

For y=0


so
6 is the maximum number of movies that Elyse can rent on line
Look at the attached image (credit to Desmos graphing calculator)
To graph the equation y=4x+1, we just find two points that exist, plot them, and draw a straight line that goes through them.
Let's try x=0:

One point on the line is (0,1)
Let's try x=1:

Another point is (1,5).
Now, plot these two points and draw a line through them.
Answer:
a. 16π cm²
b. 24π cm²
c. 33 1/3π cm²
d. 64π-128 cm²
e. 144π-288 cm²
Step-by-step explanation:
To find area of shaded region, find area of whole circle then divide the area where you're left with the area of the shaded region. For the problems with the triangles you find the area of the triangle then subtract that from a fourth of the area of the circle.
Area of a circle = πr²
a.
r=8cm
Area of circle=64π cm²
Shaded region=16π cm²
b.
r=12cm
Area of circle=144π cm²
Shaded region=24π cm²
c.
r=10cm
Area of circle=100π cm²
Shaded region=33 1/3π cm²
d.
r=16cm
Area of circle=256π cm²
Area of triangle=128 cm²
Shaded region=64π-128 cm²
e.
r=24
Area of circle=576π cm²
Area of triangle=288 cm²
Shaded region=144π-288 cm²